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[helm.git] / helm / matita / tests / test_instance.ma

diff --git a/helm/matita/tests/test_instance.ma b/helm/matita/tests/test_instance.ma
index cb3aa3fb2df53fe2c7462c9a696e8def64a06bd8..82432b7c686a67b3930126aa24ee0bcc41d28324 100644 (file)
--- a/helm/matita/tests/test_instance.ma
+++ b/helm/matita/tests/test_instance.ma
@@ -1,4 +1,16 @@
-instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x:A. P x x.
-instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x,y:A. P x y \to P y x.
-instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x,y,z:A. P x y \to P y z \to P y z.
-instance \lambda A:Set.\lambda f:A \to A \to A. \forall x,y:A. f x y = f  y x.
\ No newline at end of file
+whelp instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x:A. P x x.
+whelp instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x,y:A. P x y \to P y x.
+whelp instance \lambda A:Set.\lambda P:A \to A \to Prop.\forall x,y,z:A. P x y \to P y z \to P y z.
+whelp instance \lambda A:Set.\lambda f:A \to A \to A. \forall x,y:A. f x y = f  y x.
+whelp instance \lambda A:Set.\lambda r : A \to A \to Prop. \forall x,y,z:A. r x y \to r y z \to r x z.
+
+
+λA:Set.λR:A\to A\to Prop.∀x:A.∀y:A.(R x y)\to ∀z:A.(R x z)\to ∃u:A.(R y u)∧(R z u)
+
+\lambda A:Set. \lambda R:A\to A\to Prop.\forall x:A. \forall y:A.(R x y)\to \forall z:A.(R x z)\to \exists u:A.(R y u) \land (R z u)
+
+\lambda A:Set. \lambda R:A\to A\to Prop. confluence A R.
+
+\lambda A:Set. \lambda f:A\to A\to A. \lambda g:A\to A\to A.  \forall x,y,z : A . f x (g y z) = g (f x y ) (f x z).
+  
+